Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics (PE)]: Questions 1 - 4 of 251
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Question 1
Appeared in Year: 2013
Question MCQ▾
Consider the normalized state of a particle in a one – dimensional harmonic oscillator:
Where and denoted the ground and first excited states respectively, and b1 and b2 are real constants. The expectation value of the displacement in the state will be a minimum when – (June)
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 2
Appeared in Year: 2013
Question MCQ▾
The un – normalized wave function of a particle in a spherically symmetric potential is given by,
Where, is a function of the radial variable r. The eigenvalue of the operator (namely the square of the orbital angular momentum) is – (June)
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 3
Appeared in Year: 2013
Question MCQ▾
A particle moves in a potential . Which component (s) of the angular momentum is/are constant (s) of motion? (December)
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. | None of the above |
Question 4
Appeared in Year: 2013
Question MCQ▾
In a basis in which the z – component of the spin is diagonal, an electron is in a spin state,
The probability that a measurement of will yield the value and are, respectively,
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |